How many time constants (a decimal number) must elapse before acapacitor in a series RC circuit is charged to 60.0% of itsequilibrium charge?
For unlimited access to Homework Help, a Homework+ subscription is required.
Find the number of time constants for the capacitor in an RC charging circuit to reach 97 % of its maximum charge
1.Consider the build-up of the charge on a capacitor as described in the introducation to this lab. Assume that you start with an initially uncharged capacitor, as in figure 1 and then you close the switch to a battery of Voltage V0. After that time, how many time constants must elapse before the charge reaches 39%, 63%, and 86% of its final value?
2.For the same case you were considering in problem 1, asume that the capacitor is now fully charged. Now the switch is flipped to position 2, and the charge on the capacitor begins to decay away. After that time, how many time constants much elapse before the charge reaches 61%, 37% and 13% of its initial value (the value right before you flipped the switch to position 2)?
An RC circuit consists of a resistor with resistance 1.0 kΩ, a 120-V battery, and two capacitors, C1 and C2, withcapacitances of 20.0 μF and 60.0 μF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s.
a. What is the current through the resistor a long time after the switch is closed? Recall that current is the charge per unit time that flows in a circuit.
b. What is the time constant of the circuit?
c. Determine the total charge on both capacitor's two-time constants after the switch is closed.